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- W4283584484 abstract "Let [Formula: see text] be a closed and oriented surface of genus [Formula: see text]. A closed curve [Formula: see text] on [Formula: see text] is said to fill [Formula: see text] (or simply be filling), if its complement in the surface is a disjoint union of topological discs. It is assumed that the curve [Formula: see text] is always in minimal position. To a filling curve, we associate a number [Formula: see text], the number of topological discs in its complement. For [Formula: see text], such a filling curve is called minimally intersecting. We prove that for every [Formula: see text] there exists a filling curve [Formula: see text] on [Formula: see text] whose complement is a disjoint union of [Formula: see text] many topological discs. Furthermore, we provide an upper bound on the number of mapping class group orbits of closed curves which fills [Formula: see text] minimally." @default.
- W4283584484 created "2022-06-28" @default.
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- W4283584484 date "2022-06-01" @default.
- W4283584484 modified "2023-09-26" @default.
- W4283584484 title "Self-intersecting filling curves on surfaces" @default.
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- W4283584484 doi "https://doi.org/10.1142/s021821652250050x" @default.
- W4283584484 hasPublicationYear "2022" @default.
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